W6D11: Feb. 8th, 2022
Functions of Random Varibales and Their Distributions

CDF of W

PDF of W

\(T=\frac{x^2}{4}+1\)

CDF and PDF of T

W6D12: Feb. 10th, 2022
Ex. R=ln(X)

CDF and PDF of R

Increasing vs. Decreasing functions

Ex. Find the pdf of \(Y=e^{x}\) and \(Z=\frac{1}{X}\)
### Complete pdf of Z

W7D13: Feb. 15th, 2022
Find the pdf of \(Y=3X\)

Find the pdf of \(Y=X^2\)

Ex. Total Volume Shipped

Ex. Revenue from sales

Ex. Difference in efficiency between economy and name-brand gas

Bivariate Transfomations for Continuous rv using Jacobian


Find joint pdf of \(U_1\) and $U_2


W7D14: Feb. 17th, 2022
Joint PDF of \(U_1\) and \(U_2\) and PDF of \(U_1\)


Exponential \(Y_1\) and \(Y_2\), Let \(U_1=\frac{Y_1}{Y_2}\)

The joint pdf of \(U_1\) and \(U_2\)

Marginal PDF of \(U_1\)

W8D15: Feb. 22nd, 2022
W8D16: Feb. 24th, 2022
W9D17: Mar. 1st, 2022
W9D18: Mar. 3rd, 2022
W10D19: Mar. 8th, 2022
W10D20: Mar. 10th, 2022
W11D21: Mar. 15th, 2022
FINAL!!!